What is 10/3 minus 12/5 in fraction?
10/3 minus 12/5 equals to 14/15 in fraction form.
Learn how to find what is 10/3 minus 12/5 in fraction form just in a few minutes. We have covered the easiest method to write 10/3 - 12/5 as a fraction and decimal.
Summary: 10/3 minus 12/5
Since both the fractions have the unequal denominators, you have to find the equivalent fractions for 10/3 and 12/5 having identical denominators before starting adding the fractions. Find the LCM of denominators, 15 is the LCM of 3 and 5. Multiply the LCM 15 with all the numerators and denominators of both fractions (10/3 x 15/15) - (12/5 x 15/15) and simplify further in order to have the common denominators. By simplifying the fraction subtraction expression becomes 14/15.
The below workout with step by step calculation shows how to find what is the difference between two fractions by subtracting a fraction 12/5 from 10/3. For different, unequal or unlike denominators, use any one of the following methods to find the equivalent fraction for 10/3 minus 12/5.
1. LCM method
2. Cross multiplication method.
10/3-12/5 using LCM Method:
What is 10/3 minus 12/5 as a fraction?
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 12/5
What to be found?
10/3-12/5 = ?
Find what's the difference between 10/3 and 12/5.
step 2 Compare the denominators of fractions 10/3 and 12/5 to identify whether it is a like or unlike fraction subtraction. Since the denominators of given fractions 10/3 and 12/5 are not equal, it is said to be unlike fractions subtraction.
step 3For unlike fractions subtraction, find the LCM (least common multiple) of both denominators of fractions 10/3 and 12/5:
The LCM of 3 and 5 is 15.
step 4 Write the fractions 10/3 and 12/5 in the subtraction expression form and multiply LCM with all the numerators and denominators of both fractions.
=10/3-12/5
=(10 x 15)/(3 x 15)-(12 x 15)/(5 x 15)
step 5 Simplify the expression to have common denominator:
=50/15-36/15
step 6 Take the common values out and rewrite the above expression like the below:
=1/15 x (50/1-36/1)
=1/15 x (50 - 36)
step 7Simplify the above expression further:
=1/15 x 14
=14/15
10/3-12/5=14/15
Hence,
10/3 minus 12/5 equals to 14/15 in fraction.
10/3-12/5 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 10/3
Fraction B: 12/5
What to be found?
10/3-12/5 = ?
Find what's the difference between 10/3 and 12/5.
step 2 Find the product of numerator of Fraction A and denominator of Fraction B (10 x 5), find the product of numerator of Fraction B and denominator of Fraction A (12 x 3), and find the product of both denominators of Fraction A and Fraction B (3 x 5) and rewrite the equation as like the below:
= (10 x 5) - (12 x 3)/(3 x 5)
step 3 Simplify and rewrite the fraction:
= (50 - 36)/15
10/3-12/5 = 14/15
Hence,
10/3 minus 12/5 = 14/15